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Pliss, Viktor Aleksandrovich
(1932–2019)
Statistics Math-Net.Ru
Total publications: 64
Scientific articles: 53

Number of views:
This page:3050
Abstract pages:10384
Full texts:4707
Corresponding member of RAS
Professor
Doctor of physico-mathematical sciences (1959)
Birth date: 10.02.1932

https://www.mathnet.ru/eng/person22082
https://ru.wikipedia.org/wiki/Pliss,_Viktor_Aleksandrovich
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/205196
https://elibrary.ru/author_items.asp?authorid=7759
ISTINA https://istina.msu.ru/workers/496755

Publications in Math-Net.Ru Citations
2003
1. S. G. Kryzhevich, V. A. Pliss, “Structural Stability of Nonautonomous Systems”, Differ. Uravn., 39:10 (2003),  1325–1333  mathnet  mathscinet; Differ. Equ., 39:10 (2003), 1395–1403 5
2002
2. V. A. Pliss, “The Existence of a Solution of a Differential Equation Close to an Approximate Solution”, Differ. Uravn., 38:7 (2002),  897–906  mathnet  mathscinet; Differ. Equ., 38:7 (2002), 949–959 1
1999
3. V. A. Pliss, S. Yu. Pilyugin, “Existence of preserved structures for diffeomorphisms with an ergodic invariant measure”, Differ. Uravn., 35:1 (1999),  116–120  mathnet  mathscinet; Differ. Equ., 35:1 (1999), 117–121
1997
4. V. A. Pliss, J. R. Sell, “Some properties of weakly hyperbolic invariant sets”, Differ. Uravn., 33:5 (1997),  672–677  mathnet  mathscinet; Differ. Equ., 33:5 (1997), 675–680
5. E. V. Vasil'eva, S. Yu. Pilyugin, V. A. Pliss, “Local properties of plane homoclinic structures, and Hausdorff dimension”, Differ. Uravn., 33:5 (1997),  595–601  mathnet  mathscinet; Differ. Equ., 33:5 (1997), 599–605
1996
6. V. A. Pliss, Dzh. R. Sell, “Stability of a normally hyperbolic set of an autonomous system of differential equations”, Dokl. Akad. Nauk, 346:2 (1996),  160–161  mathnet  mathscinet  zmath
7. V. A. Pliss, “Description of the nonwandering set of a periodic system”, Differ. Uravn., 32:2 (1996),  193–200  mathnet  mathscinet; Differ. Equ., 32:2 (1996), 195–203
1995
8. V. A. Pliss, S. Yu. Pilyugin, “Persistent structures for diffeomorphisms with ergodic invariant measure”, Dokl. Akad. Nauk, 343:3 (1995),  312–313  mathnet  mathscinet  zmath
1991
9. V. A. Pliss, “Structural stability of a periodic system of differential equations”, Differ. Uravn., 27:12 (1991),  2077–2081  mathnet  mathscinet  zmath; Differ. Equ., 27:12 (1991), 1465–1469
1990
10. V. A. Pliss, “The nonwandering set of a special periodic system”, Differ. Uravn., 26:6 (1990),  966–975  mathnet  mathscinet; Differ. Equ., 26:6 (1990), 695–703
11. V. A. Pliss, “The existence of a hyperbolic integral set of a special periodic system”, Differ. Uravn., 26:5 (1990),  800–808  mathnet  mathscinet; Differ. Equ., 26:5 (1990), 571–578
1989
12. A. V. Osipov, V. A. Pliss, “Relaxation oscillations in a system of Duffing type”, Differ. Uravn., 25:3 (1989),  435–446  mathnet  mathscinet; Differ. Equ., 25:3 (1989), 300–308
1984
13. V. A. Pliss, “Distribution of stable and unstable manifolds of hyperbolic systems”, Differ. Uravn., 20:5 (1984),  779–785  mathnet  mathscinet  zmath
1982
14. V. A. Pliss, “Structure of a stable invariant set with an infinite number of periodic solutions”, Differ. Uravn., 18:5 (1982),  904–906  mathnet  mathscinet  zmath
1981
15. V. A. Pliss, “Connection between various conditions for structural stability”, Differ. Uravn., 17:5 (1981),  828–835  mathnet  mathscinet
1980
16. V. A. Pliss, “Stability of an arbitrary system with respect to perturbations that are small in the sense of $C^1$”, Differ. Uravn., 16:10 (1980),  1891–1892  mathnet  mathscinet  zmath 3
17. V. A. Pliss, “Sets of linear systems of differential equations with uniformly bounded solutions”, Differ. Uravn., 16:9 (1980),  1599–1616  mathnet  mathscinet  zmath
1978
18. S. Yu. Pilyugin, V. A. Pliss, “The boundary of a stable invariant set of the Morse–Smale system”, Differ. Uravn., 14:11 (1978),  1997–2001  mathnet  mathscinet
1977
19. V. A. Pliss, “Uniformly bounded solutions of linear systems of differential equations”, Differ. Uravn., 13:5 (1977),  883–891  mathnet  mathscinet  zmath 1
1975
20. V. A. Pliss, “Structure of the boundary of an asymptotically stable integral set of a periodic system of two equations”, Differ. Uravn., 11:5 (1975),  805–810  mathnet  mathscinet  zmath
1974
21. V. A. Pliss, “A system of differential equations that has an infinite number of stable periodic solutions”, Differ. Uravn., 10:12 (1974),  2179–2183  mathnet  mathscinet  zmath
1972
22. V. A. Pliss, “Rough sequences of linear periodic systems of differential equations”, Dokl. Akad. Nauk SSSR, 204:2 (1972),  295–297  mathnet  mathscinet  zmath
23. V. A. Pliss, “Analysis of the necessity of the conditions of Smale and Robbin for structural stability for periodic systems of differential equations”, Differ. Uravn., 8:6 (1972),  972–983  mathnet  mathscinet  zmath
24. V. A. Pliss, “The behavior of the solutions of a periodic system of two differential equations that has an integral set of zero measure”, Differ. Uravn., 8:3 (1972),  553–555  mathnet  mathscinet
25. V. A. Pliss, “On a conjecture of Smale”, Differ. Uravn., 8:2 (1972),  268–282  mathnet  mathscinet  zmath
1971
26. V. A. Pliss, “On separatrices of periodic saddle motions for periodic systems of second-order differential equations”, Dokl. Akad. Nauk SSSR, 197:2 (1971),  275–276  mathnet  mathscinet  zmath
27. V. A. Pliss, “The position of the separatrices of saddle-point periodic motions of systems of second order differential equations”, Differ. Uravn., 7:7 (1971),  1199–1225  mathnet  mathscinet  zmath
28. V. A. Pliss, “A certain version of the closing lemma”, Differ. Uravn., 7:5 (1971),  840–850  mathnet  mathscinet  zmath
29. V. A. Pliss, “The behavior of the solutions of a sequence of second order periodic systems with a small nonlinearity”, Differ. Uravn., 7:4 (1971),  651–660  mathnet  mathscinet  zmath
30. V. A. Pliss, “The structural stability of a sequence of linear systems of second order differential equations with periodic coefficients”, Differ. Uravn., 7:2 (1971),  261–270  mathnet  mathscinet  zmath
1969
31. V. A. Pliss, “The structure of the asymptotically stable invariant sets of structurally stable autonomous systems of differential equations”, Differ. Uravn., 5:6 (1969),  979–991  mathnet  mathscinet  zmath
32. V. A. Pliss, “On the theory of invariant sets in periodic systems of differential equations”, Differ. Uravn., 5:2 (1969),  215–227  mathnet  mathscinet  zmath
1968
33. V. A. Pliss, “The behavior of the solutions of structurally stable periodic and autonomous systems”, Dokl. Akad. Nauk SSSR, 182:3 (1968),  500–502  mathnet  mathscinet  zmath
1967
34. Yu. N. Bibikov, V. A. Pliss, “The existence of invariant tori in the neighborhood of the zero solution of a system of ordinary differential equations”, Differ. Uravn., 3:11 (1967),  1864–1881  mathnet  mathscinet  zmath 3
35. V. A. Pliss, “Recurrent motions of periodic systems of two differential equations”, Differ. Uravn., 3:5 (1967),  722–732  mathnet  mathscinet  zmath
1966
36. Yu. V. Linnik, V. A. Pliss, O. V. Shalaevskii, “On the theory of the Hotelling test”, Dokl. Akad. Nauk SSSR, 168:4 (1966),  743–746  mathnet  mathscinet  zmath
37. V. A. Pliss, “On the theory of invariant surfaces”, Differ. Uravn., 2:9 (1966),  1139–1150  mathnet  mathscinet  zmath
38. V. A. Pliss, “Certain questions of behavior of solutions of a periodic dissipative system of the second order”, Differ. Uravn., 2:6 (1966),  723–735  mathnet  mathscinet  zmath
1965
39. V. A. Pliss, “Families of periodic solutions of systems of differential equations of second order without dissipation”, Differ. Uravn., 1:11 (1965),  1428–1448  mathnet  mathscinet  zmath 1
40. V. A. Pliss, “On the reduction of an analytic system of differential equations to linear form”, Differ. Uravn., 1:2 (1965),  153–161  mathnet  mathscinet 1
41. V. A. Pliss, “On the existence of a family of periodic solutions for a system of differential equations in case of zero roots”, Differ. Uravn., 1:1 (1965),  17–24  mathnet  mathscinet  zmath 1
1964
42. V. A. Pliss, “The reduction principle in the stability of motion”, Dokl. Akad. Nauk SSSR, 154:5 (1964),  1044–1046  mathnet  mathscinet  zmath 2
43. V. A. Pliss, “Stability of motion in the doubtful case of two zero roots”, Dokl. Akad. Nauk SSSR, 154:2 (1964),  268–270  mathnet  mathscinet  zmath
44. V. A. Pliss, “A reduction principle in the theory of stability of motion”, Izv. Akad. Nauk SSSR Ser. Mat., 28:6 (1964),  1297–1324  mathnet  mathscinet  zmath 21
45. V. A. Pliss, “Investigation of a transcendental case in the theory of stability of motion”, Izv. Akad. Nauk SSSR Ser. Mat., 28:4 (1964),  911–924  mathnet  mathscinet  zmath
1962
46. V. A. Pliss, “Conditional stability in critical cases”, Dokl. Akad. Nauk SSSR, 147:6 (1962),  1292–1293  mathnet  mathscinet  zmath
1961
47. V. A. Pliss, “Boundedness of solutions of certain non-linear third-order differential equations”, Dokl. Akad. Nauk SSSR, 139:2 (1961),  302–304  mathnet  mathscinet  zmath
48. V. A. Pliss, “The phenomenon of convergence in non-linear periodic systems”, Dokl. Akad. Nauk SSSR, 138:2 (1961),  301–304  mathnet  mathscinet  zmath
49. V. A. Pliss, “The existence of periodic solutions of certain non-linear systems”, Dokl. Akad. Nauk SSSR, 137:5 (1961),  1060–1062  mathnet  mathscinet  zmath
1960
50. V. A. Pliss, “On invariant surfaces of a system of two differential equations”, Dokl. Akad. Nauk SSSR, 131:5 (1960),  1022–1024  mathnet  mathscinet  zmath
1958
51. V. A. Pliss, “Eiserman's problem in the case of three simultaneous differential equations”, Dokl. Akad. Nauk SSSR, 121:3 (1958),  422–425  mathnet  mathscinet  zmath 1
52. V. A. Pliss, “The necessary and sufficient conditions for the stability in the whole of a homogeneous system of three differential equations”, Dokl. Akad. Nauk SSSR, 120:4 (1958),  708–710  mathnet  mathscinet  zmath
1957
53. V. A. Pliss, “An investigation of a non-linear system of three differential equations”, Dokl. Akad. Nauk SSSR, 117:2 (1957),  184–187  mathnet  mathscinet  zmath
2010
54. A. V. Arutyunov, Yu. N. Bibikov, F. P. Vasil'ev, I. V. Gaishun, S. V. Emel'yanov, V. A. Il'in, I. T. Kiguradze, S. K. Korovin, L. D. Kudryavtsev, A. B. Kurzhanskii, S. A. Mazanik, E. K. Makarov, A. A. Martynyuk, E. F. Mishchenko, E. I. Moiseev, Yu. S. Osipov, V. A. Pliss, N. Kh. Rozov, V. A. Sadovnichy, A. M. Samoilenko, T. K. Shemjakina, “Nikolai Alekseevich Izobov (A tribute in honor of his 70th birthday)”, Differ. Uravn., 46:1 (2010),  3–8  mathnet  mathscinet  zmath; Differ. Equ., 46:1 (2010), 1–7 1
2004
55. D. V. Anosov, R. V. Gamkrelidze, S. V. Emel'yanov, V. A. Il'in, S. K. Korovin, A. B. Kurzhanskii, G. I. Marchuk, V. M. Matrosov, E. F. Mishchenko, E. I. Moiseev, Yu. S. Osipov, V. A. Pliss, V. V. Rumyantsev, F. L. Chernous'ko, “Nikolai Nikolaevich Krasovskii (a tribute in honor of his 80th birthday)”, Differ. Uravn., 40:11 (2004),  1443–1456  mathnet  mathscinet; Differ. Equ., 40:11 (2004), 1517–1532 1
2000
56. V. N. Abrashin, I. V. Gaishun, V. A. Il'in, I. T. Kiguradze, S. K. Korovin, L. D. Kudryavtsev, A. B. Kurzhanskii, A. A. Martynyuk, V. M. Millionshchikov, Yu. A. Mitropol'skii, V. A. Pliss, N. Kh. Rozov, A. A. Samarskii, A. M. Samoilenko, T. K. Shemjakina, “Nikolai Alekseevich Izobov”, Differ. Uravn., 36:1 (2000),  3–11  mathnet  mathscinet; Differ. Equ., 36:1 (2000), 1–11 1
1999
57. D. V. Anosov, V. S. Vladimirov, I. V. Gaishun, N. A. Izobov, V. A. Il'in, I. T. Kiguradze, V. A. Kondratiev, L. D. Kudryavtsev, Yu. A. Mitropol'skii, E. F. Mishchenko, O. A. Oleinik, V. A. Pliss, M. I. Rakhimberdiev, N. Kh. Rozov, A. M. Samoilenko, A. F. Filippov, T. K. Shemjakina, “Vladimir Mikhaǐlovich Millionshchikov (on the occasion of his sixtieth birthday)”, Differ. Uravn., 35:10 (1999),  1299–1312  mathnet  mathscinet; Differ. Equ., 35:10 (1999), 1311–1327 1
1997
58. A. F. Andreev, I. V. Gaishun, V. I. Gromak, N. A. Izobov, V. A. Il'in, I. T. Kiguradze, N. N. Krasovskii, L. D. Kudryavtsev, N. A. Lukashevich, I. P. Martynov, V. A. Pliss, L. A. Cherkas, T. K. Shemjakina, “Nikolaǐ Pavlovich Erugin (on the ninetieth anniversary of his birth)”, Differ. Uravn., 33:5 (1997),  579–582  mathnet  mathscinet; Differ. Equ., 33:5 (1997), 583–586 3
1995
59. L. M. Berkovich, N. A. Izobov, V. A. Il'in, I. T. Kiguradze, V. A. Pliss, N. Kh. Rozov, “Otakar Boruvka [1899–1995]”, Differ. Uravn., 31:10 (1995),  1770–1771  mathnet  mathscinet; Differ. Equ., 31:10 (1995), 1744–1745
1992
60. S. Yu. Pilyugin, V. A. Pliss, “Nikolaǐ Maksimovich Günter (on the occasion of the 120th anniversary of his birth)”, Differ. Uravn., 28:6 (1992),  1096–1099  mathnet  mathscinet
1988
61. A. F. Andreev, A. V. Bitsadze, N. P. Erugin, V. I. Zubov, N. A. Izobov, V. A. Il'in, I. T. Kiguradze, N. N. Krasovskii, L. D. Kudryavtsev, V. M. Millionshchikov, V. A. Pliss, A. A. Samarskii, K. S. Sibirskii, A. N. Tikhonov, “Yuriǐ Stanislavovich Bogdanov”, Differ. Uravn., 24:6 (1988),  1091–1097  mathnet  mathscinet  zmath; Differ. Equ., 24:6 (1988), 692–699 4
1986
62. A. M. Vershik, S. M. Ermakov, O. A. Ladyzhenskaya, I. P. Mysovskikh, V. A. Pliss, Kh. L. Smolitskii, D. K. Faddeev, “Sergei Mikhailovich Lozinskii (obituary)”, Uspekhi Mat. Nauk, 41:5(251) (1986),  153–154  mathnet  mathscinet  zmath; Russian Math. Surveys, 41:5 (1986), 115–117  isi 1
1967
63. Yu. S. Bogdanov, V. A. Pliss, “Рецензия на книгу Е. А. Барбашина «Введение в теорию устойчивости»”, Differ. Uravn., 3:12 (1967),  2184–2185  mathnet
64. S. M. Lozinskii, V. A. Pliss, “Vladimir Ivanovic Smirnov (zum 80. Geburtstag)”, Differ. Uravn., 3:6 (1967),  1031–1034  mathnet  zmath

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